UID:
almahu_9948621720002882
Format:
XI, 321 p.
,
online resource.
Edition:
1st ed. 1985.
ISBN:
9783642699627
Series Statement:
Monographs in Theoretical Computer Science. An EATCS Series, 6
Content:
The aim of this book is to present fundamentals of algebraic specifications with respect to the following three aspects: fundamentals in the sense of a carefully motivated introduction to algebraic specifications, which is easy to understand for computer scientists and mathematicians; fundamentals in the sense of mathematical theories which are the basis for precise definitions, constructions, results, and correctness proofs; and fundamentals in the sense of concepts, which are introduced on a conceptual level and formalized in mathematical terms. The book is equally suitableas a text book for graduate courses and as a reference for researchers and system developers.
Note:
Historical Remarks -- The Chapters of this Volume -- Further Topics -- 1 Equational Specifications and Algebras -- Basic Examples -- Signatures, Terms, and Algebras -- Equational Specifications and Derivations -- Bibliographic Notes for Chapter 1 -- 2 Specifications of Abstract Data Types -- Abstract Data Types -- Quotient Term Algebras -- Semantics and Correctness of Specifications -- Bibliographic Notes for Chapter 2 -- 3 Initial Semantics of Specifications -- Facts about Homomorphisms -- Term Algebras, Initial and Free Algebras -- Congruences and Quotients -- Initial and Free SPEC-Algebras -- Bibliographic Notes for Chapter 3 -- 4 Specifiability and Characterization of Equational Classes -- Equational Theory and Equational Classes -- Subalgebras -- Products -- Homomorphic Images -- Birkhoff-Characterizations of Equational Classes -- Bibliographic Notes for Chapter 4 -- 5 Equational Calculus and Term Rewriting -- Formal Proofs by Equations -- Correctness and Completeness of the Equational Calculus -- Term Rewriting with Equations -- Equivalence of Proofs and Term Rewriting with Equations -- Bibliographic Notes for Chapter 5 -- 6 Correctness and Extension of Specifications -- Initial Correctness of Specifications -- Correctness of Specifications with Hidden Functions -- Stepwise Specification by Extensions -- Correctness of Example Specifications -- Bibliographic Notes for Chapter 6 -- 7 Parameterized Specifications and Functors -- Parameterized Specifications -- Categories and Functors -- Free Constructions and Free Functors -- Semantics and Correctness of Parameterized Specifications -- Bibliographic Notes for Chapter 7 -- 8 Parameter Passing -- Specification Morphisms -- Standard Parameter Passing and Pushouts -- Amalgamation -- Persistency and Extension of Functors -- Correctness of Standard Parameter Passing -- Parameterized Parameter Passing -- Iterated Parameter Passing -- Bibliographic Notes for Chapter 8 -- 9 Concepts of a Specification Language -- Basic Specifications -- Combination -- Renaming -- Actualization -- Modularization -- Syntax of the Specification Language ACT ONE -- 10 Semantics of the Specification Language ACT ONE -- First Level of Semantics -- Second Level of Semantics -- Semantical Properties and Context-Conditions -- Initial Algebra Semantics -- Bibliographic Notes for the Appendix.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783642699641
Additional Edition:
Printed edition: ISBN 9783540137184
Additional Edition:
Printed edition: ISBN 9783642699634
Language:
English
DOI:
10.1007/978-3-642-69962-7
URL:
https://doi.org/10.1007/978-3-642-69962-7
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